[Copilot]

Addresses the six Copilot review comments on the initial draft (#1) and makes logging consistent with matterclient, using logrus with the matterbridge/logrus-prefixed-formatter.

• Ready / handler serialization

  • Ready is no longer fired from a separate timer goroutine. A readySyncer wrapper around DefaultSyncer calls it once, on the sync goroutine, after the first sync response has been fully processed.
  • This keeps Ready, OnMessage and OnReaction serialized as the Handler contract says.

• Direct rooms

  • SendDirect now persists the updated m.direct account data via SetAccountData. Previously the new room existed only in memory, so a relogin could create a duplicate.
  • If persisting fails, the error is logged and the message is still sent. Returning the error would invite a retry that creates another room.
  • handleDM treats m.direct as a full snapshot. It rebuilds dmChannels and clears IsDirect on rooms that were removed.
  • Registering a direct room no longer overwrites a cached member profile, so DisplayName doesn't regress to empty.

• Rooms

  • Membership events now create the Channel and maintain its Members, so unnamed joined rooms show up in Rooms().
  • Channel gets a separate Name field. Rooms() resolves the alias first, then the name, then the room ID. Clearing the canonical alias no longer discards the room name.

• Logging

  • New builds two logrus loggers with the prefixed formatter, as matterclient does:
    • matrixclient with padding 13.
    • matrixclient: API with padding 18, at error level.
  • Sync errors go through the API logger.
  • The formatter dependency is added to go.mod and go.sum.